Should I Apply to Brown

I wouldn't apply ED, I would apply RD, but I am just wondering if it is even worth it applying to Brown or if I really have no chance. Also other schools around Brown's level (Dartmouth, Duke, Notre Dame, Rice, etc):

White, male, located at a public school in Connecticut

UW GPA: ~3.7 (school doesn't calculate it so I'm not 100% sure)
W GPA: 4.07
No class rank but I would be top 10%

SAT: I've taken it twice and I am getting both scores back within the next 2 weeks; estimating around a 1420-1440

EC's:
- Captain of track team
- Head commissioner of my school's rec basketball league
- Manager of XC team
- Student body secretary
- Large role in theater
- In a select a cappella group and 2 other choirs
- Lead mentor in a mentoring program
- One of the head Peer Ministers at my church
- Played piano for 9 years
- Altar server for 12 years

Awards: (not the best)
- AP Scholar
- National Honors Society
- Spanish Honors Society
- Student-Athlete Award (school)
- Student Excellence Award (school)

Essays:
I have gotten feedback from people who actually review college essays, and I have gotten very positive feedback. I would say a solid 8.5/10

Letters of Recommendation:
I won't be reading them, as I waived my rights, but the teachers know me very well so I would say both would be a 8/10 or so

Intended Major: Statistics (or something very similar)

Financial Situation:
I am very fortunate that I will be getting my education paid for by my parents, so don't take that into consideration while responding

Not sure if I left anything out, but I just want to know if it would even be worth applying RD to Brown, or if I should just save money and time for writing essays and stressing and just not apply.